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10201031430 = 2353160118251
BaseRepresentation
bin10011000000000011…
…10110001100000110
3222022221001002101220
421200001312030012
5131342431001210
64404123301210
7510535223262
oct114001661406
928287032356
1010201031430
114365241997
121b8837a806
13c67546095
146cab330a2
153ea86cc70
hex260076306

10201031430 has 64 divisors (see below), whose sum is σ = 25315670016. Its totient is φ = 2628000000.

The previous prime is 10201031377. The next prime is 10201031447. The reversal of 10201031430 is 3413010201.

It is a super-2 number, since 2×102010314302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 549805 + ... + 568055.

It is an arithmetic number, because the mean of its divisors is an integer number (395557344).

Almost surely, 210201031430 is an apocalyptic number.

10201031430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201031430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12657835008).

10201031430 is an abundant number, since it is smaller than the sum of its proper divisors (15114638586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10201031430 is a wasteful number, since it uses less digits than its factorization.

10201031430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18893.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10201031430 its reverse (3413010201), we get a palindrome (13614041631).

The spelling of 10201031430 in words is "ten billion, two hundred one million, thirty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 465 601 930 1202 1803 3005 3606 6010 9015 18030 18251 18631 36502 37262 54753 55893 91255 93155 109506 111786 182510 186310 273765 279465 547530 558930 565781 1131562 1697343 2828905 3394686 5657810 8486715 10968851 16973430 21937702 32906553 54844255 65813106 109688510 164532765 329065530 340034381 680068762 1020103143 1700171905 2040206286 3400343810 5100515715 10201031430